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Finding the Fourth Proportional to 542.55, 748.80 and 395.67

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Solution

The fourth proportional to 542.55, 748.80 and 395.67 is: 546.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.55 : 748.80 = 395.67 : x
  2. Step 2: Convert to fraction form
    542.55/748.80 = 395.67/x
  3. Step 3: Cross multiply
    542.55x = 748.80 × 395.67
  4. Step 4: Simplify right side
    542.55x = 296,277.70
  5. Step 5: Solve for x
    x = 296,277.70/542.55
  6. Step 6: Final answer
    x = 546.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.